Holt, Derek and Yang, Yong (2023) Regular orbits of finite primitive solvable groups, the final classification. Journal of Symbolic Computation, 116 . pp. 139-145. doi:10.1016/j.jsc.2022.08.019 ISSN 0747-7171.

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Abstract

Suppose that a finite solvable group G acts faithfully, irreducibly and quasi-primitively on a finite vector space V, and G is not metacyclic. Then G always has a regular orbit on V except for a few “small” cases. We completely classify these cases in this paper.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Group theory , Solvable groups, Linear algebraic groups
Journal or Publication Title:	Journal of Symbolic Computation
Publisher:	Elsevier Science Ltd. / Academic Press Ltd.
ISSN:	0747-7171
Official Date:	May 2023
Dates:	Date Event May 2023 Published 8 September 2022 Available 26 August 2022 Accepted 6 February 2022 Submitted
Volume:	116
Page Range:	pp. 139-145
DOI:	10.1016/j.jsc.2022.08.019
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Copyright Holders:	Elsevier
Date of first compliant deposit:	25 October 2022
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID 499532 Simons Foundation http://dx.doi.org/10.13039/100000893 918096 Simons Foundation http://dx.doi.org/10.13039/100000893
Open Access Version:	ArXiv

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